Abstract

The cosmic expansion phenomenon is being studied through the interaction of newly proposed dark energy model (the Modified Rényi holographic dark energy (MRHDE) model) with cold dark matter (CDM) in the framework of Sáez–Ballester (SB) theory of gravitation. To determine the solution of the field equations, the concept of a time-dependent deceleration parameter (DP) is used. The Universe begins with an initial singular state and changes with time from an early deceleration phase to a late acceleration phase. In this paper, it is shown that this expanding solution is stable against perturbations with respect to anisotropic spatial directions. Some important features of the models thus obtained are discussed.

中文翻译：

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Sáez-Ballester 引力理论中修正的 Rényi 全息暗能量动力学

摘要

在 Sáez-Ballester (SB) 引力理论框架内，通过新提出的暗能量模型（改进的 Rényi 全息暗能量 (MRHDE) 模型）与冷暗物质 (CDM) 的相互作用来研究宇宙膨胀现象。为了确定场方程的解，使用了与时间相关的减速参数 (DP) 的概念。宇宙从初始奇异状态开始，并随着时间从早期减速阶段到晚期加速阶段变化。本文表明，这种扩展解对于各向异性空间方向的扰动是稳定的。讨论了由此获得的模型的一些重要特征。